Home
Class 11
MATHS
(lim)(x->2)(3x^2-x-10)/(x^2-4)...

`(lim)_(x->2)(3x^2-x-10)/(x^2-4)`

Text Solution

Verified by Experts

Given `lim_(x->2)(3x^2-x-10)/(x^2-4)`
=`lim_(x->2)(3x^2-6x+5x-10)/((x+2)(x-2))`
=`lim_(x->2)(3x(x-2)+5(x-2))/((x+2)(x-2))`
=`lim_(x->2)((x-2)(3x+5))/((x+2)(x-2))`
...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|25 Videos
  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|30 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos
  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit: (lim)_(x->4)(x^2-7x+12)/(x^2-3x-4)

Evaluate the following limit: (lim)_(x->5)(x^2-7x+12)/(x^2-3x-4)

lim_(xrarr2) (3x^(2)-x-10)/(x^(2)-4)

lim_(xrarr2) (3x^(2)-x-10)/(x^(2)-4)

Evaluate the following limit: (lim)_(x->3)(x^2-4x+3)/(x^2-2x-3)

(lim)_(x->3)(x^4-81)/(2x^2-5x-3)

Evaluate the following limit: (lim)_(x->-2)(x^3+x^2+4x+12)/(x^3-3x+2)

Evaluate the following limit: (lim)_(x->-2)(x^3+x^2+4x+12)/(x^3-3x+2)

lim_(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

lim_(x->2)(x-2)/(sqrt(x^2-4))